This is how the program works already.

1
1
2
1
2
1
1
3
2
3
1
2
3
3
4

2+3=	5
2+5=	7
4+7=	11
2+7=	9	3
2+11=	13
2+13=	15	5
4+13=	17
2+17=	19
4+19=	23
2+23=	25	5
4+23=	27	3
6+23=	29
2+29=	31
2+31=	33	3
4+31=	35	5
6+31=	37
2+37=	39	3
4+37=	41
2+41=	43
2+43=	45	5
4+43=	47
2+47=	49	7
6+43=	53
6+53=	59
12+59=	61